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Finding the Fourth Proportional to 177,434.80, 266,152.20 and 161,105.20

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Solution

The fourth proportional to 177,434.80, 266,152.20 and 161,105.20 is: 241,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,434.80 : 266,152.20 = 161,105.20 : x
  2. Step 2: Convert to fraction form
    177,434.80/266,152.20 = 161,105.20/x
  3. Step 3: Cross multiply
    177,434.80x = 266,152.20 × 161,105.20
  4. Step 4: Simplify right side
    177,434.80x = 42,878,503,411.44
  5. Step 5: Solve for x
    x = 42,878,503,411.44/177,434.80
  6. Step 6: Final answer
    x = 241,657.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.